Yes, it is possible to contract both HSV-1 (often oral herpes) and HSV-2 (usually genital herpes) from a partner. The type of virus you have does not provide immunity against the other type, so transmission can occur if proper precautions are not taken. It's essential to communicate openly with your partner about any existing infections and practice safe sex measures like using condoms or dental dams to reduce the risk of transmitting different strains of the herpes simplex virus. If you have concerns or need further guidance on this issue, consulting with a healthcare professional would be beneficial for personalized advice tailored to your situation.